The final set of open problems that we discuss are related to better methods for decoding in the current architecture.
One question is about the possibility of obtaining a further advantage from accounting for real-valued homodyne outcomes.
Although our inner decoder is exploiting the structure of the CV noise, there is still more information that could in principle be exploited, for example, at the level of the outer decoder.
Is may be possible to use ideas from analog quantum error correction [1]} and maximum-likelihood decoding [2]} to further reduce our squeezing thresholds.
